Properties of Productional NeutroOrderedSemigroups

Authors

  • Madeleine Al-Tahan
  • Bijan Davvaz
  • Florentin Smarandache
  • Osman Anis

Abstract

The introducing of NeutroAlgebra by Smarandache opened the door for researchers to define many
related new concepts. NeutroOrderedAlgebra was one of these new related definitions. The aim of this paper
is to study productional NeutroOrderedSemigroup. In this regard, we firstly present many examples and study
subsets of productional NeutroOrderedSemigroups. Then, we find sufficient conditions for the productional
NeutroSemigroup to be a NeutroOrderedSemigroup. Finally, we find sufficient conditions for subsets of the
productional NeutroOrderedSemigroup to be NeutroOrderedSubSemigroups, NeutroOrderedIdeals, and NeutroOrderedFilters.

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Published

2021-05-10

Issue

Vol. 42 (2021): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Madeleine Al-Tahan, Bijan Davvaz, Florentin Smarandache, & Osman Anis. (2021). Properties of Productional NeutroOrderedSemigroups. Neutrosophic Sets and Systems, 42, 178-190. http://fs.unm.edu/nss8/index.php/111/article/view/4081

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